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Finding the Third Proportional to 183,385 and 278,824

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Solution

The third proportional to 183,385 and 278,824 is: 423,932.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,385 : 278,824 = 278,824 : x
  2. Step 2: Convert to fraction form
    183,385/278,824 = 278,824/x
  3. Step 3: Cross multiply
    183,385x = 278,824 × 278,824
  4. Step 4: Simplify right side
    183,385x = 77,742,822,976
  5. Step 5: Solve for x
    x = 77,742,822,976/183,385
  6. Step 6: Final answer
    x = 423,932.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.